A115214 Numbers n such that p(12n) is prime, where p(n) is the number of partitions of n.

3, 11, 14, 18, 108, 178, 209, 214, 264, 704, 1085, 1354, 1523, 2550, 2770, 2831, 3709, 6055, 8241, 9011, 10590, 11360, 11780, 15358, 18305, 23576, 23628, 24331, 25589, 25620, 32435, 40219, 41373, 48204, 50239, 53174, 55984, 57521, 78831, 84136

Offset: 1

Author

Robert G. Wilson v, Nov 14 2005

Keywords

• nonn

Comments

n belongs to this sequence if and only if 12n belongs to A046063.

Links

• Max Alekseyev, Table of n, a(n) for n = 1..410

Crossrefs

Cf. A000041, A049575, A046063, A114165, A111389, A111045, A114166, A111036, A114167, A114168, A114169, A114170, A113499, A115214.

Programs

Mathematica

Select[ Range@34000, PrimeQ@ PartitionsP[12# ] &]

Extensions

More terms from Max Alekseyev, Dec 18 2011